Scoring Question

[area51]

This happened in a minor league game last night.
Just wondering if the scoring is correct.

Pitcher 1 enters game in 8th inning - his team is up 4-0 - 2 runners on - no outs.

Pitcher 1 allows 3 runs to score & leaves game with 2 runners on - 1 out.

Pitcher 2 enters game & gives up a sac. fly & a strikeout.

Pitcher 1 is credited with a hold.

Pitcher 2 is credited with a blown save.

[scorekeeper]

HOLD is not something required by OBR, but here’s its definition from MLB.

The "Hold":
The hold is not an official statistic, but it was created as a way to credit middle relief pitchers for a job well done. Starting pitchers get wins, and closers -- the relief pitchers who come in at the end of the game -- get saves, but the guys who pitch in between the two rarely get either statistic. So what's the most important thing one of these middle relievers can do? "Hold" a lead. If a reliever comes into a game to protect a lead, gets at least one out and leaves without giving up that lead, he gets a hold. But you can't get a save and a hold at the same time.

10.19 Saves For Relief Pitchers
A save is a statistic credited to a relief pitcher, as set forth in this Rule 10.19.
The official scorer shall credit a pitcher with a save when such pitcher meets all four of the following conditions:
(a) He is the finishing pitcher in a game won by his team;
(b) He is not the winning pitcher;
(c) He is credited with at least a third of an inning pitched; and
(d) He satisfies one of the following conditions:
(1) He enters the game with a lead of no more than three runs and pitches for at least one inning;
(2) He enters the game, regardless of the count, with the potential tying run either on base, or at bat or on deck (that is, the potential tying run is either already on base or is one of the first two batters he faces); or
(3) He pitches for at least three innings.

So here we go. When pitcher 2 entered the game, it was a save situation because of 10.19(d)(2). Since he did not get the save, he blew it.

He got the hold because he got at least 1 out and left without giving up the lead.

[area51]

Just a strange scoring situation. If Pitcher 2 gave up both of Pitcher 1's runs & his team does not come back to tie, it's Pitcher 1's loss.
So the definition of "leaves" is different in W-L, than in Holds?

Pitcher 2 getting the BS is brutal (as HE did not give up any runs), but I understand.